3n^2+2=65

Solution for 3n^2+2=65 equation:

Simplifying
3n2 + 2 = 65

Reorder the terms:
2 + 3n2 = 65

Solving
2 + 3n2 = 65

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 3n2 = 65 + -2

Combine like terms: 2 + -2 = 0
0 + 3n2 = 65 + -2
3n2 = 65 + -2

Combine like terms: 65 + -2 = 63
3n2 = 63

Divide each side by '3'.
n2 = 21

Simplifying
n2 = 21

Take the square root of each side:
n = {-4.582575695, 4.582575695}